Ross Huang
02/11/2023 · Junior High School

386. Представьте в виде произведения двух множителей, один равен \( x^{3} \), выражение: \( \begin{array}{llll}\text { a) } x^{17} ; & \text { б) }-x^{8} ; & \text { в) } x^{n+3} ; & \text { г) } x^{3+2 n}\end{array} \)

UpStudy ThothAI Solution

Tutor-Verified Answer

Step-by-step Solution

Чтобы представить каждое из данных выражений в виде произведения двух множителей, один из которых равен \( x^{3} \), мы можем воспользоваться свойствами степеней. a) \( x^{17} \): \[ x^{17} = x^{3} \cdot x^{14} \] б) \( -x^{8} \): \[ -x^{8} = x^{3} \cdot (-x^{5}) \] в) \( x^{n+3} \): \[ x^{n+3} = x^{3} \cdot x^{n} \] г) \( x^{3+2n} \): \[ x^{3+2n} = x^{3} \cdot x^{2n} \] Таким образом, мы представили каждое выражение в виде произведения двух множителей, один из которых равен \( x^{3} \).

Quick Answer

a) \( x^{17} = x^{3} \cdot x^{14} \) б) \( -x^{8} = x^{3} \cdot (-x^{5}) \) в) \( x^{n+3} = x^{3} \cdot x^{n} \) г) \( x^{3+2n} = x^{3} \cdot x^{2n} \)
Answered by UpStudy AI and reviewed by a Professional Tutor
UpStudy ThothAI
Self-Developed and Ever-Improving
Thoth AI product is constantly being upgraded and optimized.
Covers All Major Subjects
Capable of handling homework in math, chemistry, biology, physics, and more.
Instant and Accurate
Provides immediate and precise solutions and guidance.
Try Now
Ask Tutors
Ask AI
10x
Fastest way to Get Answers & Solutions
By text

Enter your question here…

By image
Re-Upload
Uploaded Files
xxxx.png0%
Submit
📸 STUDY CAN BE A REAL STRUGGLE
Why Not UpStudy It?
Select your plan below
Premium

You can enjoy

  • Step-by-step explanations
  • 24/7 expert live tutors
  • Unlimited number of questions
  • No interruptions
  • Full access to answer and
    solution
  • Full Access to PDF Chat, UpStudy Chat, Browsing Chat
Basic
  • Limited Solutions